document.write( "Question 918073: Mary collected $2.75 in nickels and dimes. Ten less than twice the number of nickels represents the number of dimes she has. How many of each kind of coin did Mary collect? \n" ); document.write( "
Algebra.Com's Answer #556879 by srinivas.g(540)\"\" \"About 
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A dime is worth 2 nickels.
\n" ); document.write( " let no of dimes be x
\n" ); document.write( " let no of nickles be y
\n" ); document.write( " so as per the data mentioned in the question , x=2*y-10
\n" ); document.write( "total amount = $2.75
\n" ); document.write( " so total amount should comprise of nickels and dimes
\n" ); document.write( " x*dimes + y*nickels = $2.75
\n" ); document.write( " x*( 2 nickels)+ y *nickels = $2.75
\n" ); document.write( " => nickles( 2x+y) = $ 2.75
\n" ); document.write( " but 20 nickels = 1 dollar
\n" ); document.write( " nickles(2x+y) = 2.75*20 nickels
\n" ); document.write( " cancelling nickles on both sides
\n" ); document.write( " 2x+y = 55
\n" ); document.write( " already we know that x= 2y-10
\n" ); document.write( " so 2(2y-10) +y= 55
\n" ); document.write( " 4y-20+y=55
\n" ); document.write( " 5y -20 =55
\n" ); document.write( " add 20 on both sides
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\n" ); document.write( " 5y-20+20=55+20
\n" ); document.write( " 5y=75
\n" ); document.write( " divide with 5 on both sides
\n" ); document.write( " 5y/5 =75/5
\n" ); document.write( " y= 15
\n" ); document.write( " so x= 2y-10
\n" ); document.write( " x= 2*15-10
\n" ); document.write( " x= 30-10
\n" ); document.write( " x= 20
\n" ); document.write( "so no of dimes =20
\n" ); document.write( "no of nickels =15\r
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